Simplify (3k - 4r - 2m)square
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48kr + 32rm
Explanation
(3k- 4r- 2m)² (3k + 4r - 2m)²
=[(3k)²+(-4r)²+-(2m)²+{2×(3k)×
(-4r)}+{2×(-4r)×(-2m)}+{2×(3k)×
(-2m)} ] - [(3k)² + (4r)² +(-2m)²+
{2×(3k)×(4r)} +{2×(4r)×(-2m)}+
{2×(3k)×(-2m)}]
{ (a+b+c)²=a²+b²+c²+2ab+2bc+2ac }
=[9k²+16r²+4m²+{- 24kr} +{16rm}+ {-12km}]
-[9k²+16r²+4m²+{24kr} +{-16rm }+{- 12km} ]
=9k²+16r²+4m²-24kr+16rm-12km-9k²-
16r²-4m²-24kr+16rm+12km
=48kr+32rm
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